%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : NLP265^18 : TPTP v9.2.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:22:25 AM UTC 2026
% Result : Theorem 1.66s 1.94s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 178 ( 32 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 236 ( 7 ~; 2 |; 0 &; 197 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 23 usr; 11 con; 0-3 aty)
% ( 11 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 55 ( 40 ^; 15 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mindex: $tType ).
thf(type_def_6,type,
mworld: $tType ).
thf(func_def_0,type,
mworld: $tType ).
thf(func_def_1,type,
mindex: $tType ).
thf(func_def_2,type,
mrel: mindex > mworld > mworld > $o ).
thf(func_def_3,type,
'#i_alice': mindex ).
thf(func_def_4,type,
'#i_bob': mindex ).
thf(func_def_5,type,
'#b_alice': mindex ).
thf(func_def_6,type,
'#b_bob': mindex ).
thf(func_def_7,type,
mactual: mworld ).
thf(func_def_8,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_10,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_15,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_16,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_18,type,
bigcity: $i > mworld > $o ).
thf(func_def_19,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_35,type,
sK1: mworld > mworld ).
thf(func_def_36,type,
sK2: mworld > mworld ).
thf(func_def_37,type,
sK3: mworld ).
thf(func_def_38,type,
sK4: mworld ).
thf(func_def_39,type,
sK5: mworld > mworld ).
thf(func_def_40,type,
sK6: mworld > mworld ).
thf(f152,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f151]) ).
thf(f151,plain,
$true = $false,
inference(superposition,[status(thm)],[f117,f146]) ).
thf(f146,plain,
! [X0: mworld] :
( $true
= ( bigcity @ portland @ X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f145]) ).
thf(f145,plain,
! [X0: mworld] :
( ( $true = $false )
| ( $true
= ( bigcity @ portland @ X0 ) ) ),
inference(superposition,[status(thm)],[f66,f101]) ).
thf(f101,plain,
! [X1: mworld] :
( ( ( mrel @ '#b_alice' @ mactual @ X1 )
= $false )
| ( $true
= ( bigcity @ portland @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f100]) ).
thf(f100,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ '#b_alice' @ mactual @ X1 )
=> ( bigcity @ portland @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f99]) ).
thf(f99,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#b_alice' @ mactual @ Y0 )
=> ( bigcity @ portland @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f98]) ).
thf(f98,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_alice' @ mactual @ Y0 )
=> ( bigcity @ portland @ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f74]) ).
thf(f74,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b_alice'
@ ( bigcity @ portland ) ) ) ),
inference(definition_unfolding,[status(thm)],[f68,f62,f54]) ).
thf(f54,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f20]) ).
thf(f20,plain,
( mbox
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,axiom,
( mbox
= ( ^ [X4: mindex,X0: mworld > $o,X2: mworld] :
! [X5: mworld] :
( ( mrel @ X4 @ X2 @ X5 )
=> ( X0 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p',mbox_def) ).
thf(f62,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
thf(f52,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p',mlocal_def) ).
thf(f68,plain,
( ( mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f47]) ).
thf(f47,plain,
( ( mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f46]) ).
thf(f46,plain,
mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
inference(rectify,[status(thm)],[f15]) ).
thf(f15,axiom,
mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p',axiom_2) ).
thf(f66,plain,
! [X0: mworld,X1: mworld] :
( $true
= ( mrel @ '#b_alice' @ X0 @ X1 ) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
thf(f43,plain,
! [X0: mworld,X1: mworld] :
( $true
= ( mrel @ '#b_alice' @ X0 @ X1 ) ),
inference(fool_elimination,[status(thm)],[f42]) ).
thf(f42,plain,
! [X0: mworld,X1: mworld] : ( mrel @ '#b_alice' @ X0 @ X1 ),
inference(rectify,[status(thm)],[f11]) ).
thf(f11,axiom,
! [X2: mworld,X5: mworld] : ( mrel @ '#b_alice' @ X2 @ X5 ),
file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p','mrel_#b_alice_universal') ).
thf(f117,plain,
( ( bigcity @ portland @ sK4 )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f116]) ).
thf(f116,plain,
( $false
= ( ( mrel @ '#b_bob' @ sK3 @ sK4 )
=> ( bigcity @ portland @ sK4 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f115]) ).
thf(f115,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ '#b_bob' @ sK3 @ Y0 )
=> ( bigcity @ portland @ Y0 ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[status(thm)],[f113]) ).
thf(f113,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_bob' @ sK3 @ Y0 )
=> ( bigcity @ portland @ Y0 ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f112]) ).
thf(f112,plain,
( $false
= ( ( mrel @ '#i_alice' @ mactual @ sK3 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_bob' @ sK3 @ Y0 )
=> ( bigcity @ portland @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f111]) ).
thf(f111,plain,
( $false
= ( ^ [Y0: mworld] :
( ( mrel @ '#i_alice' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b_bob' @ Y0 @ Y1 )
=> ( bigcity @ portland @ Y1 ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[status(thm)],[f110]) ).
thf(f110,plain,
( $true
!= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#i_alice' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b_bob' @ Y0 @ Y1 )
=> ( bigcity @ portland @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f75]) ).
thf(f75,plain,
( $true
!= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#i_alice'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b_bob'
@ ( bigcity @ portland ) ) ) ) ),
inference(definition_unfolding,[status(thm)],[f69,f62,f54,f54]) ).
thf(f69,plain,
( ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f53]) ).
thf(f53,plain,
( ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) )
!= $true ),
inference(flattening,[status(thm)],[f41]) ).
thf(f41,plain,
( ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) )
!= $true ),
inference(fool_elimination,[status(thm)],[f40]) ).
thf(f40,plain,
~ ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) ),
inference(rectify,[status(thm)],[f18]) ).
thf(f18,negated_conjecture,
~ ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
thf(f17,conjecture,
mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.26 % Problem : NLP265^18 : TPTP v9.2.1. Released v8.1.0.
% 0.07/0.27 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.55 % Computer : n021.cluster.edu
% 0.17/0.55 % Model : x86_64 x86_64
% 0.17/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.55 % Memory : 8042.1875MB
% 0.17/0.55 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.55 % CPULimit : 300
% 0.17/0.55 % WCLimit : 300
% 0.17/0.55 % DateTime : Tue Feb 24 10:54:25 EST 2026
% 0.17/0.55 % CPUTime :
% 0.17/0.55 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.82 ---- Original DTF file ---
% 0.20/0.82 thf(spec,logic,$$dhol).
% 0.20/0.82 %------------------------------------------------------------------------------
% 0.20/0.82 % File : NLP265^18 : TPTP v9.2.1. Released v8.1.0.
% 0.20/0.82 % Domain : Natural Language Processing
% 0.20/0.82 % Problem : Schema instantiation example
% 0.20/0.82 % Version : [BP13] axioms.
% 0.20/0.82 % English : Alice intends Bob to believe that Portland is a big city.
% 0.20/0.82
% 0.20/0.82 % Refs : [BS96] Bretier & Sadek (1996), Rational Agent as the Kernel o
% 0.20/0.82 % : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.20/0.82 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.20/0.82 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.20/0.82 % Source : [TPTP]
% 0.20/0.82 % Names : MML014+1 [QMLTP]
% 0.20/0.82 % Status : Theorem
% 0.20/0.82 % Rating : 0.00 v8.2.0, 0.15 v8.1.0
% 0.20/0.82 % Syntax : Number of formulae : 35 ( 12 unt; 18 typ; 8 def)
% 0.20/0.82 % Number of atoms : 58 ( 8 equ; 0 cnn)
% 0.20/0.82 % Maximal formula atoms : 12 ( 3 avg)
% 0.20/0.82 % Number of connectives : 92 ( 1 ~; 1 |; 2 &; 85 @)
% 0.20/0.82 % ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.82 % Maximal formula depth : 10 ( 4 avg)
% 0.20/0.82 % Number of types : 4 ( 2 usr)
% 0.20/0.82 % Number of type conns : 50 ( 50 >; 0 *; 0 +; 0 <<)
% 0.20/0.82 % Number of symbols : 17 ( 16 usr; 6 con; 0-3 aty)
% 0.20/0.82 % Number of variables : 31 ( 21 ^; 9 !; 1 ?; 31 :)
% 0.20/0.82 % SPC : TH0_THM_EQU_NAR
% 0.20/0.82
% 0.20/0.82 % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.20/0.82 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.20/0.82 % 'modal' embedding, version 1.5.2. Logic specification used:
% 0.20/0.82 % $modal == [$constants == $rigid,$quantification == $cumulative,
% 0.20/0.82 % $modalities == $modal_system_S5U].
% 0.20/0.82 %------------------------------------------------------------------------------
% 0.20/0.82 thf(mworld,type,
% 0.20/0.82 mworld: $tType ).
% 0.20/0.82
% 0.20/0.82 thf(mindex,type,
% 0.20/0.82 mindex: $tType ).
% 0.20/0.82
% 0.20/0.82 thf(mrel_type,type,
% 0.20/0.82 mrel: mindex > mworld > mworld > $o ).
% 0.20/0.82
% 0.20/0.82 thf('#i_alice_type',type,
% 0.20/0.82 '#i_alice': mindex ).
% 0.20/0.82
% 0.20/0.82 thf('#i_bob_type',type,
% 0.20/0.82 '#i_bob': mindex ).
% 0.20/0.82
% 0.20/0.82 thf('#b_alice_type',type,
% 0.20/0.82 '#b_alice': mindex ).
% 0.20/0.82
% 0.20/0.82 thf('#b_bob_type',type,
% 0.20/0.82 '#b_bob': mindex ).
% 0.20/0.82
% 0.20/0.82 thf(mactual_type,type,
% 0.20/0.82 mactual: mworld ).
% 0.20/0.82
% 0.20/0.82 thf(mlocal_type,type,
% 0.20/0.82 mlocal: ( mworld > $o ) > $o ).
% 0.20/0.82
% 0.20/0.82 thf(mlocal_def,definition,
% 0.20/0.82 ( mlocal
% 0.20/0.82 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(mnot_type,type,
% 0.20/0.82 mnot: ( mworld > $o ) > mworld > $o ).
% 0.20/0.82
% 0.20/0.82 thf(mand_type,type,
% 0.20/0.82 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.82
% 0.20/0.82 thf(mor_type,type,
% 0.20/0.82 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.82
% 0.20/0.82 thf(mimplies_type,type,
% 0.20/0.82 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.82
% 0.20/0.82 thf(mequiv_type,type,
% 0.20/0.82 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.82
% 0.20/0.82 thf(mnot_def,definition,
% 0.20/0.82 ( mnot
% 0.20/0.82 = ( ^ [A: mworld > $o,W: mworld] :
% 0.20/0.82 ~ ( A @ W ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(mand_def,definition,
% 0.20/0.82 ( mand
% 0.20/0.82 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.82 ( ( A @ W )
% 0.20/0.82 & ( B @ W ) ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(mor_def,definition,
% 0.20/0.82 ( mor
% 0.20/0.82 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.82 ( ( A @ W )
% 0.20/0.82 | ( B @ W ) ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(mimplies_def,definition,
% 0.20/0.82 ( mimplies
% 0.20/0.82 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.82 ( ( A @ W )
% 0.20/0.82 => ( B @ W ) ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(mequiv_def,definition,
% 0.20/0.82 ( mequiv
% 0.20/0.82 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.82 ( ( A @ W )
% 0.20/0.82 <=> ( B @ W ) ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(mbox_type,type,
% 0.20/0.82 mbox: mindex > ( mworld > $o ) > mworld > $o ).
% 0.20/0.82
% 0.20/0.82 thf(mbox_def,definition,
% 0.20/0.82 ( mbox
% 0.20/0.82 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 0.20/0.82 ! [V: mworld] :
% 0.20/0.82 ( ( mrel @ R @ W @ V )
% 0.20/0.82 => ( Phi @ V ) ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(mdia_type,type,
% 0.20/0.82 mdia: mindex > ( mworld > $o ) > mworld > $o ).
% 0.20/0.82
% 0.20/0.82 thf(mdia_def,definition,
% 0.20/0.82 ( mdia
% 0.20/0.82 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 0.20/0.82 ? [V: mworld] :
% 0.20/0.82 ( ( mrel @ R @ W @ V )
% 0.20/0.82 & ( Phi @ V ) ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf('mrel_#i_alice_universal',axiom,
% 0.20/0.82 ! [W: mworld,V: mworld] : ( mrel @ '#i_alice' @ W @ V ) ).
% 0.20/0.82
% 0.20/0.82 thf('mrel_#i_bob_universal',axiom,
% 0.20/0.82 ! [W: mworld,V: mworld] : ( mrel @ '#i_bob' @ W @ V ) ).
% 0.20/0.82
% 0.20/0.82 thf('mrel_#b_alice_universal',axiom,
% 0.20/0.82 ! [W: mworld,V: mworld] : ( mrel @ '#b_alice' @ W @ V ) ).
% 0.20/0.82
% 0.20/0.82 thf('mrel_#b_bob_universal',axiom,
% 0.20/0.82 ! [W: mworld,V: mworld] : ( mrel @ '#b_bob' @ W @ V ) ).
% 0.20/0.82
% 0.20/0.82 thf(portland_decl,type,
% 0.20/0.82 portland: $i ).
% 0.20/0.82
% 0.20/0.82 thf(bigcity_decl,type,
% 0.20/0.82 bigcity: $i > mworld > $o ).
% 0.20/0.82
% 0.20/0.82 thf(axiom_1_alice,axiom,
% 0.20/0.82 mlocal @ ( mbox @ '#b_alice' @ ( mimplies @ ( mand @ ( bigcity @ portland ) @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ) ) @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(axiom_1_bob,axiom,
% 0.20/0.82 mlocal @ ( mbox @ '#b_bob' @ ( mimplies @ ( mand @ ( bigcity @ portland ) @ ( mbox @ '#b_bob' @ ( mbox @ '#b_alice' @ ( mnot @ ( bigcity @ portland ) ) ) ) ) @ ( mbox @ '#i_bob' @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(axiom_2,axiom,
% 0.20/0.82 mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(axiom_3,axiom,
% 0.20/0.82 mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ) ).
% 0.20/0.82
% 0.20/0.82 thf(con,conjecture,
% 0.20/0.82 mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) ).
% 0.20/0.82
% 0.20/0.82 %------------------------------------------------------------------------------
% 0.20/0.82 ------------------------
% 1.66/1.90 ---- Embedded in THF ---
% 1.66/1.91 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.66/1.91 %%% Generated on Tue Feb 24 10:54:26 EST 2026
% 1.66/1.91 %%% using '$$dhol' embedding, version 1.3.0.
% 1.66/1.91 %%% Logic specification used:
% 1.66/1.91 %%% thf(spec, logic, $$dhol).
% 1.66/1.91
% 1.66/1.91 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2DTF2408.p
% See solution above
% 1.66/1.91 ------------------------
% 1.66/1.92 ---- Cleaned THF ---
% 1.66/1.92 thf(mworld,type,
% 1.66/1.92 mworld: $tType ).
% 1.66/1.92
% 1.66/1.92 thf(mindex,type,
% 1.66/1.92 mindex: $tType ).
% 1.66/1.92
% 1.66/1.92 thf(mrel_type,type,
% 1.66/1.92 mrel: mindex > mworld > mworld > $o ).
% 1.66/1.92
% 1.66/1.92 thf('#i_alice_type',type,
% 1.66/1.92 '#i_alice': mindex ).
% 1.66/1.92
% 1.66/1.92 thf('#i_bob_type',type,
% 1.66/1.92 '#i_bob': mindex ).
% 1.66/1.92
% 1.66/1.92 thf('#b_alice_type',type,
% 1.66/1.92 '#b_alice': mindex ).
% 1.66/1.92
% 1.66/1.92 thf('#b_bob_type',type,
% 1.66/1.92 '#b_bob': mindex ).
% 1.66/1.92
% 1.66/1.92 thf(mactual_type,type,
% 1.66/1.92 mactual: mworld ).
% 1.66/1.92
% 1.66/1.92 thf(mlocal_type,type,
% 1.66/1.92 mlocal: ( mworld > $o ) > $o ).
% 1.66/1.92
% 1.66/1.92 thf(mlocal_def,definition,
% 1.66/1.92 ( mlocal
% 1.66/1.92 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(mnot_type,type,
% 1.66/1.92 mnot: ( mworld > $o ) > mworld > $o ).
% 1.66/1.92
% 1.66/1.92 thf(mand_type,type,
% 1.66/1.92 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.66/1.92
% 1.66/1.92 thf(mor_type,type,
% 1.66/1.92 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.66/1.92
% 1.66/1.92 thf(mimplies_type,type,
% 1.66/1.92 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.66/1.92
% 1.66/1.92 thf(mequiv_type,type,
% 1.66/1.92 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.66/1.92
% 1.66/1.92 thf(mnot_def,definition,
% 1.66/1.92 ( mnot
% 1.66/1.92 = ( ^ [A: mworld > $o,W: mworld] :
% 1.66/1.92 ~ ( A @ W ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(mand_def,definition,
% 1.66/1.92 ( mand
% 1.66/1.92 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.66/1.92 ( ( A @ W )
% 1.66/1.92 & ( B @ W ) ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(mor_def,definition,
% 1.66/1.92 ( mor
% 1.66/1.92 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.66/1.92 ( ( A @ W )
% 1.66/1.92 | ( B @ W ) ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(mimplies_def,definition,
% 1.66/1.92 ( mimplies
% 1.66/1.92 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.66/1.92 ( ( A @ W )
% 1.66/1.92 => ( B @ W ) ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(mequiv_def,definition,
% 1.66/1.92 ( mequiv
% 1.66/1.92 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.66/1.92 ( ( A @ W )
% 1.66/1.92 <=> ( B @ W ) ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(mbox_type,type,
% 1.66/1.92 mbox: mindex > ( mworld > $o ) > mworld > $o ).
% 1.66/1.92
% 1.66/1.92 thf(mbox_def,definition,
% 1.66/1.92 ( mbox
% 1.66/1.92 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 1.66/1.92 ! [V: mworld] :
% 1.66/1.92 ( ( mrel @ R @ W @ V )
% 1.66/1.92 => ( Phi @ V ) ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(mdia_type,type,
% 1.66/1.92 mdia: mindex > ( mworld > $o ) > mworld > $o ).
% 1.66/1.92
% 1.66/1.92 thf(mdia_def,definition,
% 1.66/1.92 ( mdia
% 1.66/1.92 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 1.66/1.92 ? [V: mworld] :
% 1.66/1.92 ( ( mrel @ R @ W @ V )
% 1.66/1.92 & ( Phi @ V ) ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf('mrel_#i_alice_universal',axiom,
% 1.66/1.92 ! [W: mworld,V: mworld] : ( mrel @ '#i_alice' @ W @ V ) ).
% 1.66/1.92
% 1.66/1.92 thf('mrel_#i_bob_universal',axiom,
% 1.66/1.92 ! [W: mworld,V: mworld] : ( mrel @ '#i_bob' @ W @ V ) ).
% 1.66/1.92
% 1.66/1.92 thf('mrel_#b_alice_universal',axiom,
% 1.66/1.92 ! [W: mworld,V: mworld] : ( mrel @ '#b_alice' @ W @ V ) ).
% 1.66/1.92
% 1.66/1.92 thf('mrel_#b_bob_universal',axiom,
% 1.66/1.92 ! [W: mworld,V: mworld] : ( mrel @ '#b_bob' @ W @ V ) ).
% 1.66/1.92
% 1.66/1.92 thf(portland_decl,type,
% 1.66/1.92 portland: $i ).
% 1.66/1.92
% 1.66/1.92 thf(bigcity_decl,type,
% 1.66/1.92 bigcity: $i > mworld > $o ).
% 1.66/1.92
% 1.66/1.92 thf(axiom_1_alice,axiom,
% 1.66/1.92 mlocal @ ( mbox @ '#b_alice' @ ( mimplies @ ( mand @ ( bigcity @ portland ) @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ) ) @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(axiom_1_bob,axiom,
% 1.66/1.92 mlocal @ ( mbox @ '#b_bob' @ ( mimplies @ ( mand @ ( bigcity @ portland ) @ ( mbox @ '#b_bob' @ ( mbox @ '#b_alice' @ ( mnot @ ( bigcity @ portland ) ) ) ) ) @ ( mbox @ '#i_bob' @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(axiom_2,axiom,
% 1.66/1.92 mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(axiom_3,axiom,
% 1.66/1.92 mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ) ).
% 1.66/1.92
% 1.66/1.92 thf(con,conjecture,
% 1.66/1.92 mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) ).
% 1.66/1.92 ------------------------
% 1.66/1.93 % (2508)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_2408 for (2999ds/27Mi)
% 1.66/1.93 % (2507)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_2408 for (2999ds/4Mi)
% 1.66/1.93 % (2507)Instruction limit reached!
% 1.66/1.93 % (2507)------------------------------
% 1.66/1.93 % (2507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.93 % (2507)Termination reason: Unknown
% 1.66/1.93 % (2507)Termination phase: Function definition elimination
% 1.66/1.93
% 1.66/1.93 % (2507)Memory used [KB]: 1023
% 1.66/1.93 % (2507)Time elapsed: 0.002 s
% 1.66/1.93 % (2507)Instructions burned: 4 (million)
% 1.66/1.93 % (2507)------------------------------
% 1.66/1.93 % (2507)------------------------------
% 1.66/1.94 % (2508)First to succeed.
% 1.66/1.94 % (2508)Refutation found. Thanks to Tanya!
% 1.66/1.94 % SZS status Theorem for DTF2THF_2408
% 1.66/1.94 % SZS output start Proof for DTF2THF_2408
% 1.66/1.94 thf(type_def_5, type, mindex: $tType).
% 1.66/1.94 thf(type_def_6, type, mworld: $tType).
% 1.66/1.94 thf(func_def_0, type, mworld: $tType).
% 1.66/1.94 thf(func_def_1, type, mindex: $tType).
% 1.66/1.94 thf(func_def_2, type, mrel: mindex > mworld > mworld > $o).
% 1.66/1.94 thf(func_def_3, type, '#i_alice': mindex).
% 1.66/1.94 thf(func_def_4, type, '#i_bob': mindex).
% 1.66/1.94 thf(func_def_5, type, '#b_alice': mindex).
% 1.66/1.94 thf(func_def_6, type, '#b_bob': mindex).
% 1.66/1.94 thf(func_def_7, type, mactual: mworld).
% 1.66/1.94 thf(func_def_8, type, mlocal: (mworld > $o) > $o).
% 1.66/1.94 thf(func_def_10, type, mnot: (mworld > $o) > mworld > $o).
% 1.66/1.94 thf(func_def_11, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.66/1.94 thf(func_def_12, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.66/1.94 thf(func_def_13, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.66/1.94 thf(func_def_14, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.66/1.94 thf(func_def_15, type, mbox: mindex > (mworld > $o) > mworld > $o).
% 1.66/1.94 thf(func_def_16, type, mdia: mindex > (mworld > $o) > mworld > $o).
% 1.66/1.94 thf(func_def_18, type, bigcity: $i > mworld > $o).
% 1.66/1.94 thf(func_def_19, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.66/1.94 thf(func_def_35, type, sK1: mworld > mworld).
% 1.66/1.94 thf(func_def_36, type, sK2: mworld > mworld).
% 1.66/1.94 thf(func_def_37, type, sK3: mworld).
% 1.66/1.94 thf(func_def_38, type, sK4: mworld).
% 1.66/1.94 thf(func_def_39, type, sK5: mworld > mworld).
% 1.66/1.94 thf(func_def_40, type, sK6: mworld > mworld).
% 1.66/1.94 thf(f152,plain,(
% 1.66/1.94 $false),
% 1.66/1.94 inference(trivial_inequality_removal,[status(thm)],[f151])).
% 1.66/1.94 thf(f151,plain,(
% 1.66/1.94 ($true = $false)),
% 1.66/1.94 inference(superposition,[status(thm)],[f117,f146])).
% 1.66/1.94 thf(f146,plain,(
% 1.66/1.94 ( ! [X0 : mworld] : (($true = (bigcity @ portland @ X0))) )),
% 1.66/1.94 inference(trivial_inequality_removal,[status(thm)],[f145])).
% 1.66/1.94 thf(f145,plain,(
% 1.66/1.94 ( ! [X0 : mworld] : (($true = $false) | ($true = (bigcity @ portland @ X0))) )),
% 1.66/1.94 inference(superposition,[status(thm)],[f66,f101])).
% 1.66/1.94 thf(f101,plain,(
% 1.66/1.94 ( ! [X1 : mworld] : (((mrel @ '#b_alice' @ mactual @ X1) = $false) | ($true = (bigcity @ portland @ X1))) )),
% 1.66/1.94 inference(binary_proxy_clausification,[status(thm)],[f100])).
% 1.66/1.94 thf(f100,plain,(
% 1.66/1.94 ( ! [X1 : mworld] : (($true = ((mrel @ '#b_alice' @ mactual @ X1) => (bigcity @ portland @ X1)))) )),
% 1.66/1.94 inference(beta_eta_normalization,[status(thm)],[f99])).
% 1.66/1.94 thf(f99,plain,(
% 1.66/1.94 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ '#b_alice' @ mactual @ Y0) => (bigcity @ portland @ Y0))) @ X1))) )),
% 1.66/1.94 inference(pi_clausification,[status(thm)],[f98])).
% 1.66/1.94 thf(f98,plain,(
% 1.66/1.94 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b_alice' @ mactual @ Y0) => (bigcity @ portland @ Y0)))))),
% 1.66/1.94 inference(beta_eta_normalization,[status(thm)],[f74])).
% 1.66/1.94 thf(f74,plain,(
% 1.66/1.94 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#b_alice' @ (bigcity @ portland))))),
% 1.66/1.94 inference(definition_unfolding,[status(thm)],[f68,f62,f54])).
% 1.66/1.94 thf(f54,plain,(
% 1.66/1.94 (mbox = (^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 1.66/1.94 inference(cnf_transformation,[status(thm)],[f21])).
% 1.66/1.94 thf(f21,plain,(
% 1.66/1.94 (mbox = (^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 1.66/1.94 inference(fool_elimination,[status(thm)],[f20])).
% 1.66/1.94 thf(f20,plain,(
% 1.66/1.94 (mbox = (^[X0 : mindex, X1 : mworld > $o, X2 : mworld] : (! [X3 : mworld] : ((mrel @ X0 @ X2 @ X3) => (X1 @ X3)))))),
% 1.66/1.94 inference(rectify,[status(thm)],[f7])).
% 1.66/1.94 thf(f7,axiom,(
% 1.66/1.94 (mbox = (^[X4 : mindex, X0 : mworld > $o, X2 : mworld] : (! [X5 : mworld] : ((mrel @ X4 @ X2 @ X5) => (X0 @ X5)))))),
% 1.66/1.94 file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p',mbox_def)).
% 1.66/1.94 thf(f62,plain,(
% 1.66/1.94 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 1.66/1.94 inference(cnf_transformation,[status(thm)],[f52])).
% 1.66/1.94 thf(f52,plain,(
% 1.66/1.94 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 1.66/1.94 inference(fool_elimination,[status(thm)],[f1])).
% 1.66/1.94 thf(f1,axiom,(
% 1.66/1.94 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 1.66/1.94 file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p',mlocal_def)).
% 1.66/1.94 thf(f68,plain,(
% 1.66/1.94 ((mlocal @ (mbox @ '#b_alice' @ (bigcity @ portland))) = $true)),
% 1.66/1.94 inference(cnf_transformation,[status(thm)],[f47])).
% 1.66/1.94 thf(f47,plain,(
% 1.66/1.94 ((mlocal @ (mbox @ '#b_alice' @ (bigcity @ portland))) = $true)),
% 1.66/1.94 inference(fool_elimination,[status(thm)],[f46])).
% 1.66/1.94 thf(f46,plain,(
% 1.66/1.94 (mlocal @ (mbox @ '#b_alice' @ (bigcity @ portland)))),
% 1.66/1.94 inference(rectify,[status(thm)],[f15])).
% 1.66/1.94 thf(f15,axiom,(
% 1.66/1.94 (mlocal @ (mbox @ '#b_alice' @ (bigcity @ portland)))),
% 1.66/1.94 file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p',axiom_2)).
% 1.66/1.94 thf(f66,plain,(
% 1.66/1.94 ( ! [X0 : mworld,X1 : mworld] : (($true = (mrel @ '#b_alice' @ X0 @ X1))) )),
% 1.66/1.94 inference(cnf_transformation,[status(thm)],[f43])).
% 1.66/1.94 thf(f43,plain,(
% 1.66/1.94 ! [X0 : mworld,X1 : mworld] : ($true = (mrel @ '#b_alice' @ X0 @ X1))),
% 1.66/1.94 inference(fool_elimination,[status(thm)],[f42])).
% 1.66/1.94 thf(f42,plain,(
% 1.66/1.94 ! [X0 : mworld,X1 : mworld] : (mrel @ '#b_alice' @ X0 @ X1)),
% 1.66/1.94 inference(rectify,[status(thm)],[f11])).
% 1.66/1.94 thf(f11,axiom,(
% 1.66/1.94 ! [X2 : mworld,X5 : mworld] : (mrel @ '#b_alice' @ X2 @ X5)),
% 1.66/1.94 file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p','mrel_#b_alice_universal')).
% 1.66/1.94 thf(f117,plain,(
% 1.66/1.94 ((bigcity @ portland @ sK4) = $false)),
% 1.66/1.94 inference(binary_proxy_clausification,[status(thm)],[f116])).
% 1.66/1.94 thf(f116,plain,(
% 1.66/1.94 ($false = ((mrel @ '#b_bob' @ sK3 @ sK4) => (bigcity @ portland @ sK4)))),
% 1.66/1.94 inference(beta_eta_normalization,[status(thm)],[f115])).
% 1.66/1.94 thf(f115,plain,(
% 1.66/1.94 (((^[Y0 : mworld]: ((mrel @ '#b_bob' @ sK3 @ Y0) => (bigcity @ portland @ Y0))) @ sK4) = $false)),
% 1.66/1.94 inference(sigma_clausification,[status(thm)],[f113])).
% 1.66/1.94 thf(f113,plain,(
% 1.66/1.94 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b_bob' @ sK3 @ Y0) => (bigcity @ portland @ Y0)))) = $false)),
% 1.66/1.94 inference(binary_proxy_clausification,[status(thm)],[f112])).
% 1.66/1.94 thf(f112,plain,(
% 1.66/1.94 ($false = ((mrel @ '#i_alice' @ mactual @ sK3) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b_bob' @ sK3 @ Y0) => (bigcity @ portland @ Y0))))))),
% 1.66/1.94 inference(beta_eta_normalization,[status(thm)],[f111])).
% 1.66/1.94 thf(f111,plain,(
% 1.66/1.94 ($false = ((^[Y0 : mworld]: ((mrel @ '#i_alice' @ mactual @ Y0) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b_bob' @ Y0 @ Y1) => (bigcity @ portland @ Y1)))))) @ sK3))),
% 1.66/1.94 inference(sigma_clausification,[status(thm)],[f110])).
% 1.66/1.94 thf(f110,plain,(
% 1.66/1.94 ($true != (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#i_alice' @ mactual @ Y0) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b_bob' @ Y0 @ Y1) => (bigcity @ portland @ Y1))))))))),
% 1.66/1.94 inference(beta_eta_normalization,[status(thm)],[f75])).
% 1.66/1.94 thf(f75,plain,(
% 1.66/1.94 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#i_alice' @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#b_bob' @ (bigcity @ portland)))))),
% 1.66/1.94 inference(definition_unfolding,[status(thm)],[f69,f62,f54,f54])).
% 1.66/1.94 thf(f69,plain,(
% 1.66/1.94 ((mlocal @ (mbox @ '#i_alice' @ (mbox @ '#b_bob' @ (bigcity @ portland)))) != $true)),
% 1.66/1.94 inference(cnf_transformation,[status(thm)],[f53])).
% 1.66/1.94 thf(f53,plain,(
% 1.66/1.94 ((mlocal @ (mbox @ '#i_alice' @ (mbox @ '#b_bob' @ (bigcity @ portland)))) != $true)),
% 1.66/1.94 inference(flattening,[status(thm)],[f41])).
% 1.66/1.94 thf(f41,plain,(
% 1.66/1.94 ~((mlocal @ (mbox @ '#i_alice' @ (mbox @ '#b_bob' @ (bigcity @ portland)))) = $true)),
% 1.66/1.94 inference(fool_elimination,[status(thm)],[f40])).
% 1.66/1.94 thf(f40,plain,(
% 1.66/1.94 ~(mlocal @ (mbox @ '#i_alice' @ (mbox @ '#b_bob' @ (bigcity @ portland))))),
% 1.66/1.94 inference(rectify,[status(thm)],[f18])).
% 1.66/1.94 thf(f18,negated_conjecture,(
% 1.66/1.94 ~(mlocal @ (mbox @ '#i_alice' @ (mbox @ '#b_bob' @ (bigcity @ portland))))),
% 1.66/1.94 inference(negated_conjecture,[status(cth)],[f17])).
% 1.66/1.94 thf(f17,conjecture,(
% 1.66/1.94 (mlocal @ (mbox @ '#i_alice' @ (mbox @ '#b_bob' @ (bigcity @ portland))))),
% 1.66/1.94 file('/export/starexec/sandbox/tmp/tmp.ceEvGOmHY8/DTF2THF_2408.p',con)).
% 1.66/1.94 % SZS output end Proof for DTF2THF_2408
% 1.66/1.94 % (2508)------------------------------
% 1.66/1.94 % (2508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.94 % (2508)Termination reason: Refutation
% 1.66/1.94
% 1.66/1.94 % (2508)Memory used [KB]: 5628
% 1.66/1.94 % (2508)Time elapsed: 0.006 s
% 1.66/1.94 % (2508)Instructions burned: 13 (million)
% 1.66/1.94 % (2508)------------------------------
% 1.66/1.94 % (2508)------------------------------
% 1.66/1.94 % (2505)Success in time 0.004 s
%------------------------------------------------------------------------------